On paranormed sequence space arising from Riesz Euler Totient matrix [PDF]
In this paper, we introduce a novel paranormed sequence space l(R Phi, p) constructed through the application of the Riesz Euler Totient matrix. We demonstrate that the spaces l(R Phi, p) and l(p) are linearly isomorphic.
Alp, Pinar Zengin
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Orlicz-Lacunary bicomplex sequence spaces of difference operators
, 2023 In the present paper we introduce and study some lacunary difference bicomplex sequence spaces by means of Orlicz functions. We make an effort to study some algebraic and topological properties of these sequence spaces. We also show that these spaces are
Esi, Ayhan +5 more
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µ-Integrable Functions and Weak Convergence of Probability Measures in Complete Paranormed Spaces
MathematicsThis paper works with functions defined in metric spaces and takes values in complete paranormed vector spaces or in Banach spaces, and proves some necessary and sufficient conditions for weak convergence of probability measures.
Renying Zeng
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On some new paranormed sequence spaces
, 2010 Summary: The sequence spaces \(c^\lambda_0\), \(c^\lambda\) and \(\ell^\lambda_\infty\) have been recently introduced and studied by \textit{M. Mursaleen} and \textit{A. K. Noman} [Thai J. Math. 8, No.~2, 311--329 (2010; Zbl 1218.46005)]. The main purpose of the present paper is to extend the results of Mursaleen and Noman to the paranormed case and to
Demiriz, Serkan, Çakan, Celal
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Paranormed Norlund Nᵗ- difference sequence spaces and their α-, β- and γ-duals
, 2023 Kizmaz [4] defined some difference spaces viz., ℓ∞ (∆), c(∆) and c0(∆) and studied by Et and Colak [1] thoroughly. In this paper, Norlund Nt- difference sequence spaces Nt(c0, p, ∆), Nt(c, p, ∆) and Nt(ℓ∞, p, ∆) contain the sequences whose Nt∆-transforms
Singh, Sukhdev, Malik, Toseef Ahmed
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On the paranormed space $\mathcal{M}_{u}(t)$ of double sequences
Boletim da Sociedade Paranaense de Matemática, 2017 In this paper, we introduce the paranormed sequence space $\mathcal{M}_{u}(t)$ corresponding to the normed space $\mathcal{M}_{u}$ of bounded double sequences. We examine general topological properties of this space and determine its alpha-, beta- and gamma-duals.
Feyzi Başar, Hüsamettin Çapan
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ON SOME GENERALIZED DIFFERENCE SEQUENCE SPACES OF FUZZY NUMBERS DEFINED BY A SEQUENCE OF MODULI [PDF]
, 2017 We have introduced the paranormed sequence spaces cF (f; Λ; ∆m; p),cF0 (f; Λ; ∆m; p) and l1 F (f; Λ; ∆m; p) of fuzzy numbers associated with the multiplier sequence Λ = (λk) determined by a sequence of moduli f = (fk).
Debnath, Shyamal +3 more
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Stability of the pexiderized quadratic functional equation in paranormed spaces
, 2016 The aim of the present paper is to investigate the Hyers-Ulam stability of the Pexiderized quadratic functional equation, namely of f(x+y)+f(x-y)=21(x)+ 2h(y) in paranormed spaces.
Zhihua Wang, Prasanna Sahoo
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© Hindawi Publishing Corp. TOPOLOGICAL DUALS OF SOME PARANORMED SEQUENCE SPACES
, 2002 Let P = (pk) be a bounded positive sequence and let A = (ank) be an infinite ma-trix with all ank ≥ 0. For normed spaces E and Ek, the matrix A generates the paranormed sequence spaces [A,P]∞((Ek)), [A,P]0((Ek)), and [A,P]((E)), which generalise almost ...
Nandita Rath
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WEIGHTED STATISTICAL CONVERGENCE OF ORDER ? IN PARANORMED SPACES [PDF]
, 2020 In this study, we introduce and examine the concept of weighted statisticalconvergence of order ? in paranormed spaces. Also some relations between weightedstatistical convergence of order ?
Karakaş, Murat +2 more
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